138738320700
138,738,320,700 is an even composite number composed of seven prime numbers multiplied together.
138738320700 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138738320700:
22 × 3 × 52 × 73 × 23 × 312 × 61
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 23 × 31 × 31 × 61)See below for interesting mathematical facts about the number 138738320700 from the Numbermatics database.
Names of 138738320700
- Cardinal: 138738320700 can be written as One hundred thirty-eight billion, seven hundred thirty-eight million, three hundred twenty thousand, seven hundred.
Scientific notation
- Scientific notation: 1.387383207 × 1011
Factors of 138738320700
Divisors of 138738320700
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 31 35 42 46 49 50 60 61 62 69 70 75 84 92 93 98 100 105 115 122 124 138 140 147 150 155 161 175 183 186 196 210 217 230 244 245 276 294 300 305 310 322 343 345 350 366 372 420 427 434 460 465 483 490 525 575 588 610 620 644 651 686 690 700 713 732 735 775 805 854 868 915 930 961 966 980 1029 1050 1085 1127 1150 1220 1225 1281 1302 1372 1380 1403 1426 1470 1519 1525 1550 1610 1708 1715 1725 1830 1860 1891 1922 1932 2058 2100 2135 2139 2170 2254 2300 2325 2415 2450 2562 2604 2806 2852 2883 2940 2989 3038 3050 3100 3220 3255 3381 3430 3450 3565 3660 3675 3782 3844 4025 4116 4209 4270 4278 4340 4508 4557 4575 4650 4805 4830 4900 4991 5124 5145 5425 5612 5635 5673 5766 5978 6076 6100 6405 6510 6727 6762 6860 6900 7015 7130 7350 7564 7595 7889 8050 8418 8540 8556 8575 8967 9114 9150 9300 9455 9610 9660 9821 9982 10290 10633 10675 10695 10850 11270 11346 11532 11956 12075 12810 13020 13237 13454 13524 14030 14260 14415 14700 14945 14973 15190 15778 16100 16275 16836 16905 17150 17825 17934 18228 18300 18910 19220 19642 19964 20181 20580 20923 21045 21266 21350 21390 21700 22103 22540 22692 22785 23667 24025 24150 24955 25620 25725 26474 26908 28060 28175 28365 28830 29463 29890 29946 30380 31556 31899 32025 32550 33635 33810 34300 34937 35075 35650 35868 37820 37975 39284 39445 39711 40362 41846 42090 42532 42700 42780 43493 44206 44835 45570 47089 47275 47334 48050 48300 49105 49910 51450 52948 53165 53475 56350 56730 57660 58621 58926 59780 59892 62769 63798 64050 65100 66185 66309 67270 67620 68747 69874 70150 71300 72075 74725 74865 75950 78890 79422 80724 83692 84180 84525 86986 88412 89670 91140 92659 94178 94550 94668 96100 98210 99820 100905 102900 104615 104811 105225 106330 106950 110515 112700 113460 113925 117242 117852 118335 124775 125538 127596 128100 130479 132370 132618 134540 137494 139748 140300 141267 141825 144150 147315 149450 149730 151900 154721 157780 158844 159495 168175 169050 173972 174685 175863 179340 185318 188356 189100 196420 197225 198555 201810 206241 209230 209622 210450 212660 213900 217465 221030 224175 227850 234484 235445 236670 244559 245525 249550 251076 260958 264740 265236 265825 274988 277977 282534 283650 288300 293105 294630 298900 299460 304451 309442 313845 318990 329623 330925 331545 336350 338100 343735 349370 351726 370636 374325 394450 397110 403620 410347 412482 418460 419244 420900 434930 442060 448350 455700 463295 464163 470890 473340 481229 489118 491050 499100 504525 521916 523075 524055 531650 552575 555954 565068 567300 586210 589260 591675 608902 618884 627690 637980 648613 652395 659246 661850 663090 672700 687470 698740 703452 706335 733677 736575 748650 773605 788900 794220 797475 820694 824964 869860 873425 879315 896700 913353 926590 928326 941780 962458 978236 982100 988869 992775 1009050 1031205 1046150 1048110 1063300 1083047 1087325 1105150 1111908 1172420 1177225 1183350 1217804 1222795 1231041 1255380 1297226 1304790 1318492 1323700 1326180 1348283 1374940 1389885 1412670 1443687 1465525 1467354 1473150 1497300 1522255 1547210 1569225 1594950 1641388 1648115 1657725 1718675 1746850 1758630 1826706 1853180 1856652 1924916 1945839 1977738 1985550 2018100 2051735 2062410 2092300 2096220 2131157 2166094 2174650 2210300 2316475 2320815 2354450 2366700 2406145 2445590 2462082 2594452 2609580 2620275 2696566 2779770 2825340 2872429 2887374 2931050 2934708 2946300 3044510 3094420 3138450 3189900 3243065 3249141 3261975 3296230 3315450 3437350 3493700 3517260 3531675 3653412 3668385 3868025 3891678 3955476 3971100 4044849 4103470 4124820 4262314 4332188 4349300 4396575 4566765 4632950 4641630 4708900 4812290 4891180 4924164 4944345 5156025 5240550 5393132 5415235 5559540 5744858 5774748 5862100 6089020 6113975 6155205 6276900 6393471 6486130 6498282 6523950 6592460 6630900 6741415 6874700 6949425 7063350 7218435 7336770 7581329 7611275 7736050 7783356 8089698 8206940 8240575 8524628 8617287 8793150 9133530 9265900 9283260 9437981 9624580 9729195 9888690 10258675 10312050 10481100 10655785 10830470 11489716 11604075 12030725 12227950 12310410 12786942 12972260 12996564 13047900 13482830 13898850 14126700 14362145 14436870 14673540 14918099 15162658 15222550 15472100 16179396 16215325 16245705 16481150 17234574 17586300 18267060 18341925 18875962 19458390 19777380 20107003 20224245 20517350 20624100 21311570 21660940 22743987 22833825 23208150 24061450 24455900 24620820 24721725 25573884 26965660 27076175 27797700 28313943 28724290 28873740 29836198 30325316 30445100 30776025 31967355 32430650 32491410 32962300 33707075 34469148 36092175 36683850 37751924 37906645 38916780 40214006 40448490 41034700 42623140 43086435 44754297 45487974 45667650 46416300 47189905 48122900 48645975 49443450 53278925 54152350 56627886 57448580 59672396 60321009 61552050 63934710 64861300 64982820 66065867 67414150 71810725 72184350 73367700 74590495 75813290 80428012 80896980 81228525 86172870 89508594 90975948 91335300 94379810 97291950 98886900 100535015 101121225 106557850 108304700 113255772 113719935 120642018 123104100 127869420 132131734 134828300 141569715 143621450 144368700 149180990 151626580 159836775 162457050 172345740 179017188 188759620 189533225 194583900 198197601 201070030 202242450 213115700 215432175 223771485 227439870 235949525 241284036 264263468 283139430 287242900 298361980 301605045 319673550 324914100 330329335 372952475 379066450 396395202 402140060 404484900 430864350 447542970 454879740 462461069 471899050 502675075 566278860 568599675 603210090 639347100 660658670 707848575 745904950 758132900 792790404 861728700 895085940 924922138 943798100 990988005 1005350150 1118857425 1137199350 1206420180 1321317340 1387383207 1415697150 1491809900 1508025225 1651646675 1849844276 1981976010 2010700300 2237714850 2274398700 2312305345 2774766414 2831394300 3016050450 3303293350 3963952020 4475429700 4624610690 4954940025 5549532828 6032100900 6606586700 6936916035 9249221380 9909880050 11561526725 13873832070 19819760100 23123053450 27747664140 34684580175 46246106900 69369160350 138738320700
- Sum of all divisors σ(n): 513017164800
- Sum of proper divisors (its aliquot sum) s(n): 374278844100
- 138738320700 is an abundant number, because the sum of its proper divisors (374278844100) is greater than itself. Its abundance is 235540523400
Bases of 138738320700
- Binary: 100000010011010111001011000101001111002
- Hexadecimal: 0x204D72C53C
- Base-36: 1RQH7PDO
Squares and roots of 138738320700
- 138738320700 squared (1387383207002) is 19248321630656048490000
- 138738320700 cubed (1387383207003) is 2670479819330705806800370743000000
-
The
square root of 138738320700 is 372475.9330480293 -
The
cube root of 138738320700 is 5176.8487651087
Scales and comparisons
How big is 138738320700?- 138,738,320,700 seconds is equal to 4,411 years, 23 weeks, 2 days, 14 hours, 25 minutes.
-
To count from 1 to 138,738,320,700 would take you about eight thousand, eight hundred twenty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138738320700 cubic inches would be around 431.4 feet tall.
Recreational maths with 138738320700
- 138738320700 backwards is 007023837831
- 138738320700 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138738320700's digits is 42
- More coming soon!
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